Solved: PHYSICS Question for NEET

NEET PHYSICSMedium

If we study the vibration of a pipe open at both ends, then the following statement is not true:

Open end will be anti-node

Odd harmonics of the fundamental frequency will be generated

All harmonics of the fundamental frequency will be generated

Pressure change will be maximum at both ends

Displacement at Open Ends: In an open organ pipe, the air particles at the open ends are free to vibrate with maximum amplitude. Therefore, displacement antinodes are formed at both open ends.
Pressure at Open Ends: Since the open ends are exposed to the atmosphere, the pressure there remains constant (equal to the atmospheric pressure). This means the pressure variation ( $\Delta P$ ) is zero, making the open ends pressure nodes, not pressure antinodes. Thus, the statement that pressure change is maximum at both ends is completely false.
Harmonics Generated: For a pipe open at both ends, the resonant frequencies are given by $f_n = n\frac{v}{2L}$ , where $n = 1, 2, 3, \dots$ . This indicates that all harmonics (both odd and even) of the fundamental frequency are generated.

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